Open AccessThe kernel function’s simplification and its characteristic analysis in integral theory of diffraction gratings
Author(s) -
Shanwen Zhang,
Bayanheshig
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.3486
Subject(s) - kernel (algebra) , integral equation , diffraction , series (stratigraphy) , convergence (economics) , power series , mathematical analysis , function (biology) , diffraction efficiency , mathematics , optics , physics , pure mathematics , paleontology , evolutionary biology , economics , biology , economic growth
On the base of perfect conductivity integral theory of diffraction gratingsafter transforming the grating equationthe image equation of diffraction wave vector in Littrow mounting is given. Using the equation and in view of the power function propertythe infinite serieswhich represents the kernel functionis transformed into the sum of a symmetrical series and a geometrical series. Compared with the primary integral methodfrom the view of numerical calculationthe new kernel function can reduce the computing time and improve the convergence. The extension results show that the power function character can improve convergence in the deviated Littrow mounting.